Some questions on properties of superconductors

I was wondering if someone can explain to me whether:
1) Superconductors are attracted to originally unmagnetised ferromagnetic or paramagnetic materials?

AIUI superconductors are perfect diamagnets due to the Meisnner Effect, and magnetic attraction is due to the creation of induced magnetic moments in the above materials, which in turn produce magnetic fields which mutually attract.

2) Following on from 1, what happens if you bring a superconductor in proximity to iron filings?

3) Whether very large eddy currents can be induced in a superconductor by a changing EM field, e.g. brushing a permanent magnet past a superconductor or the superconductor being in close proximity to an AC power cable.

4) Is there a way of determining the current density and direction of eddy currents induced in a superconductor?

5) If a superconducting disk had induced eddy currents in it, and a part of it was changed to a non-superconducting state (e.g. heated up), what will happen?